Classical quotient rings of PWD’s

Gordon, Robert

doi:10.1090/S0002-9939-1972-0309983-4

Classical quotient rings of PWD’s
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by Robert Gordon PDF

Proc. Amer. Math. Soc. 36 (1972), 39-46 Request permission

Abstract:

Piecewise domains which are right orders in semiprimary rings are characterized. An example is given showing the result obtained is “best possible". A further example is obtained of a prime right Goldie ring possessing a regular element which becomes a left zero divisor in some prime overring. This example leads to the construction of a PWD R not satisfying the regularity condition, but for which $R/N(R)$ is right Goldie.

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